{"paper":{"title":"Numerical study of the dimensionally reduced 3D Ising model","license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","headline":"","cross_cats":["cond-mat.stat-mech"],"primary_cat":"hep-lat","authors_text":"Stephan Durr, Tolga Kiel","submitted_at":"2024-12-05T15:59:42Z","abstract_excerpt":"We study the 3D Ising model in the infinite volume limit $N_{x,y,z}\\to\\infty$ by means of numerical simulations. We determine $T_c$ as well as the critical exponents $\\beta,\\gamma$ and $\\nu$, based on finite-size scaling and histogram reweighting techniques. In addition, we study a ``dimensionally reduced'' scenario where $N_z$ is kept fixed (e.g. at 2, 4, 8), while the limit $N_{x,y}\\to\\infty$ is taken. For each fixed $N_z$ we determine $T_c$ as well as $\\beta,\\gamma,\\nu$. For $T_c$ we find a smooth transition curve which connects the well known critical temperatures of the 2D and the 3D Isin"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2412.04278","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2412.04278/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"}